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Finding the Fourth Proportional to 901.17, 1,351.53 and 251.78

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Solution

The fourth proportional to 901.17, 1,351.53 and 251.78 is: 377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.17 : 1,351.53 = 251.78 : x
  2. Step 2: Convert to fraction form
    901.17/1,351.53 = 251.78/x
  3. Step 3: Cross multiply
    901.17x = 1,351.53 × 251.78
  4. Step 4: Simplify right side
    901.17x = 340,281.47
  5. Step 5: Solve for x
    x = 340,281.47/901.17
  6. Step 6: Final answer
    x = 377.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.